What will be the volume (V)
What will be the volume (V) of the cuboid, if its length is doubled, height is halved and breadth is tripled?
यदि घनाभ की लंबाई दोगनी, ऊंचाई आधी तथा चौड़ाई तिगुनी कर दी जाए, तो इसका आयतन (V) कितना हो जाएगा?
Detailed Solution & Logic
Correct Answer:
3V
Volume of a cuboid V = $ l \times b \times h $
Original dimensions: l b h
Original volume = l b h
New dimensions: l = 2l b = 3b h = $ \frac{h}{2} $
New volume V = l b h = (2l) (3b) $\frac{h}{2} $
V' = 3 l b h
Therefore, the new volume is 3 times the original volume.
Answer V = 3V
Similar Practice Questions
A solid cylinder is reduced in radius by 20% and increased in height by 50%. What net percentage change occurs in its volume?
A solid cylinder is reduced in radius by 20% and increased in height by 50%....
A rectangle of side 8cm\times 6cm and a rhombus
A rectangle of side 8cm × 6cm and a rhombus (side = 8cm, acute angle...
The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides are 24 cm and 20 cm, find the distance between the parallel sides.
The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides...
A regular polygon has interior angle $ 160^\circ $.How many sides does it have?
A regular polygon has interior angle $ 160^\circ $.How many sides does it have? एक...
The lengths of the two diagonals
The lengths of the two diagonals of a rhombus are 20 cm and 23 cm....
If the radius of a sphere is tripled,
If the radius of a sphere is tripled, what is the ratio of the volume...
A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m; T2 with bases 50m & 30m, height 15 m. Land costs ₹60/ $m^2$. What is the total land cost?
A farmer’s land is two adjoining trapezoids: T1 with bases 70m & 50m, height 20m; ...